Prime p₀= 3717611978585066459 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
All 10 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 62
Found by: Sphynx
db: batch=84, k=10, 2 16 2 10 2

SPT(16)	3717608963369026259	0 2 20 74 80 84 120 150 224 254 290 294 300 354 372 374	-3015216040200
SPT(16)	3717610058865295753	0 18 28 40 70 88 90 96 130 136 138 156 186 198 208 226	-1919719770706
SPT(16)	3717610685207504957	0 32 36 42 56 62 146 152 210 216 300 306 320 326 330 362	-1293377561502
SPT(18)	3717610713614468129	0 8 18 50 62 78 90 98 120 140 162 170 182 198 210 242 252 260	-1264970598330
SPT(13)	3717611229987084511	0 6 30 42 72 120 126 132 180 210 222 246 252	-748597981948
STPT(10)	3717611234735003699	0 2 42 44 60 62 78 80 120 122	-743850062760
SPT(16)	3717612339689023669	0 12 48 54 60 84 90 124 168 202 208 232 238 244 280 292	361103957210
TPT(14)	3717613026635253671	0 2 78 80 168 170 228 230 288 290 330 332 378 380	1048050187212
SPT(16)	3717613150492552841	0 12 60 80 102 126 168 182 186 200 242 266 288 308 356 368	1171907486382
STPT(10)	3717613210079058749	0 2 18 20 30 32 42 44 60 62	1231493992290
SPT(16)	3717613213064169841	0 42 52 90 102 156 162 178 210 226 232 286 298 336 346 388	1234479103382